2004 Pascal Problem 21

In the diagram, the number of different paths that spell "PASCAL" is

\textbf{(A)}\ 6\quad \textbf{(B)}\ 10\quad \textbf{(C)}\ 12\quad \textbf{(D)}\ 16\quad \textbf{(E)}\ 24

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Pascal contests here.